Semester page for MAT4500 - Autumn 2024

The mandatory assignment is now available, in PDF and LaTeX formats.  Upload your solution using Canvas, before the deadline at 14:30 on Friday October 18th.  There will be last-chance support sessions Tuesday October 15th and Thursday October 17th.

This is the planned exam syllabus.  Dates (day/month) will show when the material is first discussed.

• Section 1: Fundamental Concepts (20/8)
• Section 2: Functions (21/8)
• Section 3: Relations (up to Order Relations)
• Section 5. Cartesian Products (21/8)
• Section 6: Finite Sets (21/8)
• Section 7: Countable and Uncountable Sets
• Section 12: Topological Spaces (27/8)
• Section 13: Basis for a Topology (27/8)
• Section 15: The Product Topology on X x Y (3/9)
• Section 16: The Subspace Topology (3/9)
• Section 17: Closed Sets and Limit Points (4/9)
• Section 18: Continuous Functions (10/9)
• Section 19: The Product Topology (18/9)
• Section 20: The Metric Topology
• Section 21: The Metric Topology (continued)
• Section 22: The Quotient Topology
• Section 23: ...

This is the fall 2024 semester page for the course MAT3500/MAT4500 - Topology.  We will use the textbook "Topology" (second edition) by James Munkres, supplemented by the lecture notes

• /studier/emner/matnat/math/MAT4500/h24/topology.pdf

which are based on chapters 1-5, 7 and 9 of that book.  Last update:

• August 27: correction in Remark 2.1.14.

The topics to be outlined during the Tuesday and Wednesday lectures will be listed on the semester schedule

• /studier/emner/matnat/math/MAT4500/h24/timeplan/index.html

and the exercises (from Munkres' book) to be discussed during the Thursday problem sessions will also be listed on that schedule.